Algebraic reduced genus one Gromov-Witten invariants for complete intersections in projective spaces

Sanghyeon Lee, Jeongseok Oh

Published 2018-09-28Version 1

A. Zinger proved a comparison theorem of standard and reduced genus one Gromov-Witten invariants for compact, Kahler manifold of (real) dimension 4 and 6 in symplectic geometry. After that, J. Li and Zinger defined reduced genus one Gromov-Witten invariants in algebraic geometry version. In 2015, H. L. Chang and Li provided a proof for Zinger's comparison theorem for quintic Calabi-Yau 3-fold in algebraic geometry. In this paper, we extend an algebraic proof of Chang and Li for every complete intersection in projective space of dimension 2 or 3.